Finding the Third Proportional to 135,486 and 190,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,486 : 190,624.50 = 190,624.50 : x
2. Step 2: Convert to fraction form
   135,486/190,624.50 = 190,624.50/x
3. Step 3: Cross multiply
   135,486x = 190,624.50 × 190,624.50
4. Step 4: Simplify right side
   135,486x = 36,337,700,000.25
5. Step 5: Solve for x
   x = 36,337,700,000.25/135,486
6. Step 6: Final answer
   x = 268,202.62